Determine How Many Different Computer Passwords Are Possible If

Algebra 2 CP Name______Assignment: G1

Determine how many different computer passwords are possible if: (a) digits and letters can be repeated, and (b) digits and letters cannot be repeated. 1. 3 digits followed by 4 letters. 2. 2 digits followed by 5 letters.

3. 1 letter followed by 6 digits. 4. 4 letters followed by 4 digits.

5. Photography: A photographer lines up the 13 players of a basketball team in a single line in order to take a team picture. How many different ways can the photographer arrange the team for the picture?

6. Home Decor: You want to remodel your bedroom by replacing the curtains, painting the walls, and changing the carpet. You have 9 choices of curtains, 12 choices of paint, and 18 choices of carpeting. How many different ways can you choose curtains, paint, and carpeting for your room? (Assume that you can only choose one type in each category.)

7. Men’s Suits: A men’s department store sells 3 different suit jackets, 6 different shirts, 8 different ties, and 4 different pairs of pants. How many different suits consisting of a jacket, shirt, tie, and pants are possible?

8. Batting Order: A baseball manager is determining the batting order for the team. The team has 9 players, but the manager definitely wants the pitcher to bat last. How many batting orders are possible?

9. Ice cream: A deli sells 4 sizes of ice cream cones (small, medium, large, and giant) and 2 different cones (waffle and cake). How many choices does the deli offer? 10. Track Meet: Eight runners compete in an elite track meet competition. Assuming there are no ties, in how many ways could the runners finish the meet?

11. Track Meet: In how many ways could the eight runners finish first, second, or third at the meet?

12. Numbers: How many eight-digit numbers can be formed if the leading digit cannot be a zero and the last number cannot be 1?

13. Numbers: How many 4 digit even numbers can be formed if no digit can be repeated?

14. Demos: you are burning a demo CD for your band. Your band has 12 songs stored on your computer. However, you want to put only 4 songs on the demo. In how many orders could you burn these 4 songs?

15. License Plates: The standard configuration for an Alaska license plate is 3 letters followed by 3 digits. How many different license plates are possible if letters and digits can be repeated? How many if they cannot be repeated?

16. Student Council: From 52 candidates, how many ways can a president, vice-president, treasurer, secretary, and recorder be chosen?

17. Dice: A single die is rolled. How many ways can you roll a number less than 3, then an even, and then an odd? 18. Dice: A single die is rolled. How many ways can you roll a number that is prime, followed by a 6?

19. Dice: A pair of identical dice is rolled – in how many ways can you get a sum of seven?

20. Dice: A red die and a blue die are rolled – in how many ways can you get a sum of 6?

21. Cards: From a standard deck of cards, how many ways can you pick a face card, then a spade? Provided you put the first card back?

22. Cards: From a standard deck of cards, how many ways can you pick a king, a heart, and then a five? Provided you put the cards back into the deck.

23. Survey: You are taking a survey on your experience at Taco Bell. For the first five questions you can answer Below Average, Average, or Above Average for each question. The last three questions you can respond with either Agree or Disagree. How many total outcomes are there for this survey?

Find the number of distinguishable permutations of the letters in the following words.

24. ASSESSMENT 25. MATHEMATICS 26. GARGANTUAN